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**Topic under **Control Engineering

**Source:** www.nd.edu

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Thu Apr 12, 2018 03:21:28 AM

__Short Desciption__:

An InvariantBased Approach to the Design of Hybrid Control Systems Technical Report of the ISIS Group at ... only continuous components may seem restrictive since modern engineering system ...

__Summary__:

In this paper, a methodology for hybrid control design is presented. The hybrid systems of interest
are characterized by a feedback architecture of a continuous nonlinear plant with a discrete-event controller.
The natural invariants of the continuous dynamics are used to partition the state space into regions
and to synthesize simple and ecient control laws. The paper contains a complete description of the
approach including a description of the hybrid control system modeling, of the invariant based approach
for the design of the partition, and of the controller synthesis methodology illustrated by examples. The
implementation and optimization of the approach are also discussed. The approach presented in this
paper not only describes a viable methodology to hybrid design, but also addresses fundamental issues
in hybrid system theory that arise in reachability analysis and verication approaches that are based on
partitions of the continuous state space. Finally, the developed techniques are adapted and applied to
digital control systems.

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